Volume 55, Number 3, May-June 2021
|Page(s)||2035 - 2054|
|Published online||29 June 2021|
ARAS-H: A ranking-based decision aiding method for hierarchically structured criteria
Laboratory “Optimisation, Logistique et Informatique Décisionnelle” (OLID), University of Sfax, Higher Institute of Industrial Management of Sfax, Road of Tunis km 10.5, 3021 Sfax, Tunisia
* Corresponding author: email@example.com
Accepted: 26 May 2021
In most of real world problems, alternatives are evaluated according to a large set of criteria which confuses the Decision Maker (DM) in terms of allotting alternatives’ assessments. So, to reduce the complexity of the presented problem, it is recommended to organize the criteria into a hierarchy tree to decompose the main problem into sub-ones. Therefore, the DM gains detailed insight on each level of the hierarchy instead of focusing only on one level. In this context, we propose an extension of the Additive Ratio ASsessment (ARAS) method to the case of hierarchically structured criteria. The proposed approach is called Hierarchical Additive Ratio ASsessment (ARAS-H) method. A major advantage of the ARAS-H method is that it enables the DM to analyze the partial pre-orders (the rankings of the alternatives) at each node of the criteria tree i.e., according to each sub-criterion. The partial pre-orders present solutions of the problem with respect to each subset of criteria. In view of determining the criteria weights at each level of the hierarchy tree, we apply the AHP method. Finally, we apply the ARAS-H method on a case study related to tourism which aims to rank tourist destination websites brands in accordance with a four levels criteria hierarchy.
Mathematics Subject Classification: 90B50
Key words: Multiple Criteria Decision Aid / Multiple Criteria Hierarchy Process (MCHP) / ARAS-H / AHP method / Hierarchy of criteria
© The authors. Published by EDP Sciences, ROADEF, SMAI 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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